Turkish Journal of Mathematics
Abstract
In the present article, we expose various properties of unbounded absolutely weak Dunford?Pettis and unbounded absolutely weak compact operators on a Banach lattice E. In addition to their topological and lattice properties, we investigate relationships between M-weakly compact operators, L-weakly compact operators, and order weakly compact operators with unbounded absolutely weak Dunford-Pettis operators. We show that the square of any positive uaw-Dunford-Pettis (M-weakly compact) operator on an order continuous Banach lattice is compact. Many examples are given to illustrate the essential conditions.
DOI
10.3906/mat-1904-27
Keywords
uaw-Convergence, uaw-Dunford-Pettis operator, Banach lattice
First Page
2731
Last Page
2740
Recommended Citation
ÖZCAN, N. E, GEZER, N. A, & ZABETI, O (2019). Unbounded absolutely weak Dunford-Pettis operators. Turkish Journal of Mathematics 43 (6): 2731-2740. https://doi.org/10.3906/mat-1904-27
